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Finding the Third Proportional to 428,892 and 916,682

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Solution

The third proportional to 428,892 and 916,682 is: 1,959,248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,892 : 916,682 = 916,682 : x
  2. Step 2: Convert to fraction form
    428,892/916,682 = 916,682/x
  3. Step 3: Cross multiply
    428,892x = 916,682 × 916,682
  4. Step 4: Simplify right side
    428,892x = 840,305,889,124
  5. Step 5: Solve for x
    x = 840,305,889,124/428,892
  6. Step 6: Final answer
    x = 1,959,248.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.